soggy dirty lawn

hello,since i cleared all the leaves in one go almost ,my lawn has been left with a thick dredge which has sunk into the grass.
the lawn is boggy but is now drying out slowly ,could u please advise me on the best steps ,do i detatch it all?or aerate?or use a power rake?
i would appreciate any help,
thanx.

 

I would wait till dryer weather and fork the lawn to aerate it.
I assume the lawn is not boggy all the time?
If it is, then fork and apply lawn sand to help drainage.
At the end of the year and every year give it a good scarify to get rid of old thatch that accumulates over the season.